A New Approach to Quantum Gravity from a Model of an Elastic Solid
| dc.creator | Baker, John M. | |
| dc.date | 2008-10-26 | |
| dc.date.accessioned | 2026-07-07T10:13:18Z | |
| dc.date.available | 2026-07-07T10:13:18Z | |
| dc.description | We show that the dynamics of an elastic solid embedded in a Minkowski space consist of a set of coupled equations describing a spin-1/2 field, $Ψ$, obeying Dirac's equation, a vector potential, $A_μ$, obeying Maxwell's equations and a metric, $g_{μν}$, which satisfies the Einstein field equations. The combined set of Dirac's, Maxwell's and the Einstein field equations all emerge from a simple elastic model in which the field variables $Ψ$, $A_μ$ and $g_{μν}$ are each identified as derived quantities from the field displacements of ordinary elasticity theory. By quantizing the elastic field displacements, a quantization of all of the derived fields are obtained even though they do not explicitly appear in the Lagrangian. We demonstrate the approach in a three dimensional setting where explicit solutions of the Dirac field in terms of fractional derivatives are obtained. A higher dimensional version of the theory would provide an alternate approach to theories of quantum gravity. | |
| dc.identifier | https://arxiv.org/abs/0810.4659 | |
| dc.identifier | http://arxiv.org/abs/0810.4659 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172481 | |
| dc.subject | Mathematical Physics | |
| dc.title | A New Approach to Quantum Gravity from a Model of an Elastic Solid | |
| dc.type | text |